STAT 225 Spring 2014 ---Graded Homework 2 -------DUE in class on Friday, Feb. 28, 2014. Your instructor will give you further information on the format of the homework. SHOW WORK!!!!! 1.James teaches a class of 300 students, and only 6 have done their homework assignment which is due today. He calls on a student at random to put a problem on the board and check to see whether he or she has done the assignment. a)What does James consider a “success”? What is the probability?b)Define Xin terms of the story. What values can Xtake? c)What are the distribution and parameters of Xd)What is the probability that the student James selects is one who has done the assignment? 2.Approximately 8.33% of men are colorblind. You survey 8 men from the population of large city and count the number who are colorblind. a)What is a “success” in this situation and what is probability of success on a single trial?b)Explain in words what Xis in terms of the story and what values it can take on. c)What are the distribution and parameters of Xd)What is the probability that exactly 2 will be colorblind? e)What is the probability that at MOST 6 will be colorblind? f)How many would you have to survey in order to be at least 95% sure that you find at least 1 who is colorblind? g)What is the expected value and variance of X3.Customers arrive at a bakery at an average rate of 6 per half-hour. Each customer spends an average of $2.50. a)What is the probability that exactly 3 customers will arrive in the next 10 minutes? b)What is the probability that at least 3 customers will arrive in the next 10 minutes? c)What is the expected amount of money the bakery will make in the next 10 minutes? d)? ? ?